Published January 1, 2017 | Version v1
Journal article Open

On 2-Absorbing Quasi Primary Submodules

  • 1. Marmara Univ, Dept Math, Istanbul, Turkey
  • 2. Yildiz Tech Univ, Grad Sch Nat & Appl Sci, Istanbul, Turkey

Description

Let R be a commutative ring with nonzero identity, and let M be a nonzero unital R-module. In this article, we introduce the concept of 2-absorbing quasi primary submodules which is a generalization of prime submodules. We define 2-absorbing quasi primary submodule as a proper submodule N of M having the property that abm is an element of N, then ab is an element of root(N :(R) M) or am is an element of rad(M)(N) or bm is an element of rad(M)(N) : Various results and examples concerning 2-absorbing quasi primary submodules are given.

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